RRB Junior Engineer (JE) Sample Paper: Mathematics-1

1. If n is odd, (11)n + 1 is divisible by:

(a)  11 + 1
(b) 11 – 1         
(c) 11
(d)10 + 1         

2. X and Y are positive integers and X is less than Y. If X2 + Y2 equals two times 5 and XY equals two times 2, X / Y will equal:

(a) 3
(b) 4       
(c) 1/2
(d)  2

3. Find unit digit in (515)31 + (515)90:

(a) 0
(b) 5
(c) 1
(d)  4

4. The number 899 is:

(a) a number with 5 factors
(b) a number with 4 factors
(c) a number with more than 4 factors
(d) a perfect cube

5. The numerator of a fraction is multiple of two numbers. One of the numbers is greater than the other by 2. The greater number is smaller than the denominator by 1. If the denominator is given as 5 + c(c is a constant), then the minimum value of the fraction is:

(a) 2/3
(b) –2
(c) –1/2
(d) 1/2        

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1(a), 2(c), 3(a), 4(b), 5(c)